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Finding the Fourth Proportional to 11,771.71, 16,245.06 and 6,466.64

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Solution

The fourth proportional to 11,771.71, 16,245.06 and 6,466.64 is: 8,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.71 : 16,245.06 = 6,466.64 : x
  2. Step 2: Convert to fraction form
    11,771.71/16,245.06 = 6,466.64/x
  3. Step 3: Cross multiply
    11,771.71x = 16,245.06 × 6,466.64
  4. Step 4: Simplify right side
    11,771.71x = 105,050,954.80
  5. Step 5: Solve for x
    x = 105,050,954.80/11,771.71
  6. Step 6: Final answer
    x = 8,924.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.